"I invite you to imagine it - a prime minister, a man with a blue tie - who goes on holiday to be replaced by a man in a blue tie, a treasurer who delivers a budget wearing a blue tie," she told the event.

But social media users quickly pointed out that Wayne Swan handed down this year's budget wearing a blue tie.

On that occasion, the Treasurer sported a stylish-looking silky number with white spots woven neatly into what appeared to be a classic half windsor knot.

Labor backbencher Kevin Rudd was also wearing a blue tie as he campaigned in Sydney on Wednesday morning, sparking giggles on social media.

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Others pointed out that blue ties have regularly been the neckwear of choice for US President Barack Obama, Vice President Joe Biden, UK Prime Minister David Cameron, former French President Nicolas Sarkozy and Ms Gillard's partner, Tim Mathieson.

Opposition Leader Tony Abbott recently defended his penchant for blue ties in an interview with Sydney radio station 2SM, saying he copied the look from the "coolest dudes in politics", Barack Obama and David Cameron.

Mr Abbott shrugged off Ms Gillard's criticism on Wednesday.

"I gather that Kevin Rudd is wearing a blue tie in Sydney. Certainly the treasurer was wearing blue ties in parliament last week," he said.

"I'm much more concerned with getting on with promoting our real solutions plan for the Australian people than I am about whether people are wearing blue ties or some other colour."

According to life coaching website citizencoaching.com, a blue tie signifies the wearer is calm under pressure, a deep thinker and trustworthy.